A remark on the invariant theory of real Lie groups
Volume 156 / 2019
Colloquium Mathematicum 156 (2019), 295-300
MSC: Primary 22E47; Secondary 58A32.
DOI: 10.4064/cm7610-5-2018
Published online: 7 February 2019
Abstract
This short expository note presents a simple argument that shows how the invariant theory of certain real Lie groups coincides with that of the underlying affine, algebraic $\mathbb {R}$-groups. In particular, this result applies to the non-compact orthogonal or symplectic Lie groups.
